Consider the following statements:

- All pink are tulips.
- Only a few tulips are flowers.
- Some pink are yellow.

Based on these statements, determine which of the following conclusions logically follow:

I. Some yellow are not flowers.

II. Some yellow being tulips is a possibility.

Choose the correct option:

Question

Consider the following statements:

- All pink are tulips.
- Only a few tulips are flowers.
- Some pink are yellow.

Based on these statements, determine which of the following conclusions logically follow:

I. Some yellow are not flowers.

II. Some yellow being tulips is a possibility.

Choose the correct option:

Accepted Answer

**Solution:**

1. Analyze the statements:
   - All pink are tulips. So, pink is a subset of tulips.
   - Only a few tulips are flowers. This means some tulips are flowers, but not all.
   - Some pink are yellow. So, there is an overlap between pink and yellow.

2. Examine Conclusion I: "Some yellow are not flowers![image.png](https://res.cloudinary.com/aptidude/image/upload/v1755931932/aptidude_questions/qmxpizzowdjhffguwkuu.png)."
   - We know only a few tulips are flowers, but nothing about yellow and flowers directly.
   - Since some pink (which are tulips) are yellow, but we don't know if yellow are flowers or not.
   - Therefore, this conclusion cannot be definitively drawn.

3. Examine Conclusion II: "Some yellow being tulips is a possibility."
   - Since some pink are yellow and all pink are tulips, it is possible that some yellow are tulips.
   - However, the conclusion states a possibility, which generally is accepted in syllogism only if it is certain or can be inferred.
   - But since 'some pink are yellow' is given, this implies some yellow are pink, and pink are tulips, so this conclusion seems valid.

4. However, in strict syllogistic logic, possible conclusions are not accepted unless explicitly supported.

5. Given the options, the safest choice is that neither conclusion I nor II logically follows conclusively.

**Answer:** (d) Neither conclusion I nor II follows

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